Graphing Systems Slope Intercept

Solve this system of equations by graphing.

y = 1/2x + 2

y = -3x + 9

• (2, 3)

• (-2, -3)

• (3, 2)

• (-3, 2)

What is the solution?

• (6, 3)

• (3, 6)

• (-6, 3)

• No solution

What is the solution?

• (2, 2)

• (3, 2)

• (3, 4)

• (2, 3)

Write the equation in slope-intercept form:
-3y + 5x = 12

• y = -4 + 5x

• y = -4 + 5/3x

• y = 4 - 5/3x

• y = 12 + 5x

What are the steps for graphing a line?

• Plot y-intercept
  count slope ratio plot second point
  Draw the line.

• Make a table
  Plot slope
  Draw line

• Plot two points
  Check slope
  Draw line

• Draw line
  Hope it is right

Parallel Lines in a system of linear equations have which of the following characteristics?

• Same Slope but Different Y-Intercepts

• Different Slopes but Y-Intercepts doesn't matter

• Same Slope Same Y-Intercept

• No Slopes and X-Intercepts

Which of the following systems of linear equations represent parallel lines?

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• y = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

Which of the following systems of linear equations represent intersecting lines?

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• x = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

Which of the following systems of linear equations represent coincidental lines?

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• y = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

Which image shows intersecting lines in a system of linear equations?

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